details

property	value
status	complete
benchmark	consts2.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	1.79083895683 seconds
cpu usage	3.841158365
max memory	2.48303616E8

stage attributes

key	value
output-size	5076
starexec-result	WORST_CASE(Omega(n^1), O(n^1))

output

/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, max(1, 1 + Arg_0)). (0) CpxIntTrs (1) Koat2 Proof [FINISHED, 46 ms] (2) BOUNDS(1, max(1, 1 + Arg_0)) (3) Loat Proof [FINISHED, 124 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f0(A) -> Com_1(f1(A)) :|: TRUE f1(A) -> Com_1(f1(A - 1000)) :|: A >= 1001 The start-symbols are:[f0_1] ---------------------------------------- (1) Koat2 Proof (FINISHED) YES( ?, max([1, 1+Arg_0]) {O(n)}) Initial Complexity Problem: Start: f0 Program_Vars: Arg_0 Temp_Vars: Locations: f0, f1 Transitions: f0(Arg_0) -> f1(Arg_0):|: f1(Arg_0) -> f1(Arg_0-1000):|:1001 <= Arg_0 Timebounds: Overall timebound: max([1, 1+Arg_0]) {O(n)} 0: f0->f1: 1 {O(1)} 1: f1->f1: max([0, Arg_0]) {O(n)} Costbounds: Overall costbound: max([1, 1+Arg_0]) {O(n)} 0: f0->f1: 1 {O(1)} 1: f1->f1: max([0, Arg_0]) {O(n)} Sizebounds: `Lower: 0: f0->f1, Arg_0: Arg_0 {O(n)} 1: f1->f1, Arg_0: 1 {O(1)} `Upper: 0: f0->f1, Arg_0: Arg_0 {O(n)} 1: f1->f1, Arg_0: Arg_0 {O(n)} ---------------------------------------- (2) BOUNDS(1, max(1, 1 + Arg_0)) ---------------------------------------- (3) Loat Proof (FINISHED) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Compl Integ Trans Syste 26843